A continuum mechanics code analysis of steady plastic wave propagation in the Taylor test

International Journal of Impact Engineering

Volumn 19, Issue 3, 1997, Pages 231-256

  Maudlin, P J ^a   Foster Jr , J C ^b   Jones, S E ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

^c Box 870280   (United States)

Author keywords

Jump conditions; Plastic wave propagation; Taylor cylinder test

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; CYLINDERS (SHAPES); EQUATIONS OF MOTION; VISCOUS FLOW; WAVE TRANSMISSION;

STEADY PLASTIC WAVE PROPAGATION; TAYLOR CYLINDER IMPACT TEST;

IMPACT TESTING;

EID: 0031103532     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0734-743x(96)00021-8     Document Type: Article

References (27)

1. Taylor, G. I., The use of flat-ended projectiles for determining dynamic yield stress I. Theoretical considerations. Proceedings of the Royal Society of London, A-194, 289 (1948).
2. Lee, E. H. and Tupper, S. J., Analysis of plastic deformation in a steel cylinder striking a rigid target. Journal of Applied Mechanics, 21, 63 (1954).
3. Hawkyard, J. B., A theory for the mushrooming of flat-ended projectiles impinging on a flat rigid anvil, using energy considerations. International Journal of Mechanical Sciences, 11, 313 (1969).
4. Erlich, D. C., Shockley, D. A. and Seaman, L., Symmetric rod impact technique for dynamic yield determination. AIP Conf. Proc., No. 78, Second Topical Conf. on Shock Waves in Condensed Matter, Menlo Park, CA, p. 402 (1981).
5. Wilson, L. L., House, J. W. and Nixon, M. E., Time resolved deformation from the cylinder impact test. AFATL-TR-89-76 (November 1989).
6. Jones, S. E., Maudlin, P. J., Gillis, P. P. and Foster, Jr., J. C., An analytical interpretation of high strain rate material behavior during early time plastic deformation in the Taylor impact test. Computers in Engineering 1992, ed. G. A. Gabriele 2, 173 ASME, New York (1992).
7. von Karman, T. and Duwez, P., The propagation of plastic deformation in solids. Journal of Applied Physics, 21, 987 (1950).
8. Kolsky, H., Stress Waves in Solids. Dover Publications, New York (1963).
9. Malvern, L. E., The propagation of longitudinal waves of plastic deformation in a bar of material exhibiting a strain-rate effect. Journal Applied Mechanics, 18, 203 (1951).
10. Kolsky, H. and Douch, L. S., Experimental studies in plastic wave propagation. Journal of the Mechanics and Physics of Solids, 10, 195 (1962).
11. Courant, R. and Friedrichs, K. O., Supersonic flow and shock waves. Applied Mathematical Sciences, 21, Springer, New York (1948).
12. Foster, Jr., J. C., Maudlin, P. J. and Jones, S. E., On the Taylor test: a continuum analysis of plastic wave propagation. Proc. of the 1995 APS Topical Conf. on Shock Compression of Condensed Matter, Seattle, Washington, p. 291 (1995).
13. Jones, S. E., Maudlin, P. J., Foster, Jr., J. C. and Kazmier, M., On the Taylor test, Part II: an engineering analysis of plastic wave propagation, Los Alamos National Laboratory report LA-12845-MS (1994).
14. Harlow, F. H. and Amsden, A. A., Fluid Dynamics. LA-4700, Los Alamos Scientific Laboratory (1971).
15. von Mises, R., Mechanik der plastischen Formanderung von Kristallen. Z. angew. Math. Mech., 8, 161-85 (1928).
16. Johnson, G. R. and Cook, W. H., A constitutive model and data for metals subjected to large strains, high strain rates, and high temperatures. Proceeding of the 7th International Symposium on Ballistics. The Hague, The Netherlands (April 1983).
17. Johnson, G. R. and Holmquist, T. J., Test data and computational strength and fracture model constants for 23 materials subjected to large strains, high strain rates, and high temperatures, LA-11463-MS, Los Alamos National Laboratory (1989).
18. Follansbee, P. S., High-strain-rate deformation of FCC metals and alloys. In Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena. eds. L. E. Murr, K. P. Staudhammer and M. A. Meyers, Chap. 24, p. 451. Marcell Dekker, New York (1986).
19. Follansbee, P. S. and Kocks, U. F., A constitutive description of the deformation of copper based on the use of mechanical threshold stress as an internal state variable. Acta Metallica, 36, 81-93 (1988).
20. Malvern, L. E., Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, New Jersey (1969).
21. Maudlin, P. J., Davidson, R. F. and Henninger, R. J., Implementation and assessment of the mechanical-threshold-stress model using the EPIC2 and PINON computer codes. Los Alamos National Laboratory, LA-11895-MS (September 1990).
22. Johnson, G. R. and Stryk, R. A., User instructions for the EPIC-2 Code, Air Force Armament Laboratory, Eglin Air Force Base report AFATL-TR-86-51 (August 1986).
23. Jones, S. E., Gillis, P. P., Foster, Jr, J. C. and Wilson, L. L., A one-dimensional, two-phase flow model for Taylor impact specimens. Journal Engr. Mats. Technol. 113, 228 (1991).
24. Marsh, S. P., ed., LASL Shock Hugoniot Data, Univ. of California Press, Berkeley, CA (1980).
25. Davies, E. D. H. and Hunter, S. C., The dynamic compression testing of solids by the method of the split Hopkinson pressure bar. Journal of the Mechanics and Physics of Solids, 11, 155 (1963).
26. Follansbee, P. S., High strain rate compression testing. Metals Handbook, 9th Edition, Vol. 8. ASM, Metalpark, OH (1985).
27. Strikwerda, J. C., Finite Difference Scheme and Partial Differential Equations. Wadsworth & Brooks/Cole, California (1989).